170 citations · 491 across the 31 of their papers we have counts for
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nlin.SI2010★ 2 cited
Backlund transformation and L2-stability of NLS solitons
Tetsu Mizumachi, Dmitry Pelinovsky
Ground states of a L2-subcritical focusing nonlinear Schrodinger (NLS) equation are known to be orbitally stable in the energy class H1 thanks to its variational characterization.…
nlin.PS2010
Breather continuation from infinity in nonlinear oscillator chains
Guillaume James, Dmitry Pelinovsky
Existence of large-amplitude time-periodic breathers localized near a single site is proved for the discrete Klein--Gordon equation, in the case when the derivative of the on-site…
math-ph2010★ 16 cited
Survey on global existence in the nonlinear Dirac equations in one dimension
Dmitry Pelinovsky
We consider the nonlinear Dirac equations in one dimension and review various results on global existence of solutions in H1. Depending on the character of the nonlinear terms, exi…